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This paper attempts to discuss some analytical properties of the equilibrium chance functions of fuzzy random variables. Based on the continuity of the credibility functions, we deduce several sufficient conditions for the right continuity, left continuity and continuity of the equilibrium chance functions. The obtained results can be applied to fuzzy random optimization problems as we design algorithms...
Fuzzy random variable is a measurable mapping from a probability space to a collection of fuzzy variables. The variance is a fundamental concept for fuzzy random variables. Due to the difficulties involved in computing variance, we usually focus on searching for good approximation and simulation methods to solve a complex model. Based on the definition of the variance of a fuzzy random variable, this...
In this study, we first give some sufficient conditions on the continuity for the mean chance functions; then based on the continuity of the mean chance functions, we establish several sufficient conditions for some important properties of the birandom critical value functions, which can be applied to birandom optimization problems as we design algorithms to compute birandom programming with mean...
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